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Simplifying 3(2x + 6x) + -8(x + -5) = 4(3x + 2) Combine like terms: 2x + 6x = 8x 3(8x) + -8(x + -5) = 4(3x + 2) Remove parenthesis around (8x) 3 * 8x + -8(x + -5) = 4(3x + 2) Multiply 3 * 8 24x + -8(x + -5) = 4(3x + 2) Reorder the terms: 24x + -8(-5 + x) = 4(3x + 2) 24x + (-5 * -8 + x * -8) = 4(3x + 2) 24x + (40 + -8x) = 4(3x + 2) Reorder the terms: 40 + 24x + -8x = 4(3x + 2) Combine like terms: 24x + -8x = 16x 40 + 16x = 4(3x + 2) Reorder the terms: 40 + 16x = 4(2 + 3x) 40 + 16x = (2 * 4 + 3x * 4) 40 + 16x = (8 + 12x) Solving 40 + 16x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 40 + 16x + -12x = 8 + 12x + -12x Combine like terms: 16x + -12x = 4x 40 + 4x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + 4x = 8 + 0 40 + 4x = 8 Add '-40' to each side of the equation. 40 + -40 + 4x = 8 + -40 Combine like terms: 40 + -40 = 0 0 + 4x = 8 + -40 4x = 8 + -40 Combine like terms: 8 + -40 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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